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Finding the Fourth Proportional to 409,408.34, 565,217.96 and 273,672.18

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Solution

The fourth proportional to 409,408.34, 565,217.96 and 273,672.18 is: 377,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,408.34 : 565,217.96 = 273,672.18 : x
  2. Step 2: Convert to fraction form
    409,408.34/565,217.96 = 273,672.18/x
  3. Step 3: Cross multiply
    409,408.34x = 565,217.96 × 273,672.18
  4. Step 4: Simplify right side
    409,408.34x = 154,684,429,919.99
  5. Step 5: Solve for x
    x = 154,684,429,919.99/409,408.34
  6. Step 6: Final answer
    x = 377,824.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.